Finding the Fourth Proportional to 1,082.98, 1,494.50 and 585.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082.98 : 1,494.50 = 585.62 : x
2. Step 2: Convert to fraction form
   1,082.98/1,494.50 = 585.62/x
3. Step 3: Cross multiply
   1,082.98x = 1,494.50 × 585.62
4. Step 4: Simplify right side
   1,082.98x = 875,205.86
5. Step 5: Solve for x
   x = 875,205.86/1,082.98
6. Step 6: Final answer
   x = 808.14